Search a number
-
+
2345738492097 = 337111386792411
BaseRepresentation
bin100010001000101000111…
…010001101100011000001
322022020202112211000111000
4202020220322031203001
5301413033023221342
64553341204442213
7331321405125030
oct42105072154301
98266675730430
102345738492097
11824905253180
1231a7530a9369
1314028229c890
148176a378717
1541040d5244c
hex22228e8d8c1

2345738492097 has 64 divisors (see below), whose sum is σ = 4665960069120. Its totient is φ = 1124829633600.

The previous prime is 2345738492089. The next prime is 2345738492107. The reversal of 2345738492097 is 7902948375432.

2345738492097 is a `hidden beast` number, since 2 + 3 + 4 + 57 + 3 + 8 + 492 + 0 + 97 = 666.

It is not a de Polignac number, because 2345738492097 - 23 = 2345738492089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2345738492017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43369179 + ... + 43423232.

It is an arithmetic number, because the mean of its divisors is an integer number (72905626080).

Almost surely, 22345738492097 is an apocalyptic number.

2345738492097 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2345738492097 is a deficient number, since it is larger than the sum of its proper divisors (2320221577023).

2345738492097 is a wasteful number, since it uses less digits than its factorization.

2345738492097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86792451 (or 86792445 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 2345738492097 in words is "two trillion, three hundred forty-five billion, seven hundred thirty-eight million, four hundred ninety-two thousand, ninety-seven".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 91 99 117 143 189 231 273 297 351 429 693 819 1001 1287 2079 2457 3003 3861 9009 27027 86792411 260377233 607546877 781131699 954716521 1128301343 1822640631 2343395097 2864149563 3384904029 5467921893 6683015647 7898109401 8592448689 10154712087 12411314773 16403765679 20049046941 23694328203 25777346067 30464136261 37233944319 60147140823 71082984609 86879203411 111701832957 180441422469 213248953827 260637610233 335105498871 781912830699 2345738492097